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Finding the Fourth Proportional to 561,073.15, 841,978.01 and 206,090.11

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Solution

The fourth proportional to 561,073.15, 841,978.01 and 206,090.11 is: 309,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,073.15 : 841,978.01 = 206,090.11 : x
  2. Step 2: Convert to fraction form
    561,073.15/841,978.01 = 206,090.11/x
  3. Step 3: Cross multiply
    561,073.15x = 841,978.01 × 206,090.11
  4. Step 4: Simplify right side
    561,073.15x = 173,523,340,698.48
  5. Step 5: Solve for x
    x = 173,523,340,698.48/561,073.15
  6. Step 6: Final answer
    x = 309,270.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.